Epidemic dynamics with a time-varying susceptibility due to repeated infections

Nakata, Yukihiko; Omori, Ryosuke

Journal of biological dynamics, 2019, 13(1), 567-585

Permalink : https://hdl.handle.net/2115/76056

このアイテムのアクセス数:633件（2026-05-14 05:17 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
https://doi.org/10.1080/17513758.2019.1643043			14

アクセス権	open access
URI	https://hdl.handle.net/2115/76056
タイトル	Epidemic dynamics with a time-varying susceptibility due to repeated infections
著者	著者名 Nakata, Yukihiko
著者	e-Rad_Researcher 10746952 著者名 Omori, Ryosuke
言語	英語
キーワード	Epidemic model
	reinfection threshold
	heterogeneous susceptibility
	delayed outbreak
発行日	2019-01-01
出版者	Taylor & Francis
収録物名	Journal of biological dynamics
巻(号)	13(1)
ページ	567-585
抄録	In this paper, we consider the impact of heterogeneous susceptibility on disease transmission dynamics, using a simple mathematical model formulated by a system of ordinary differential equations. Our model describes a time-varying immunity level, which is enhanced by reinfection and diminished by waning immunity. Through mathematical analysis, we show that unexpected outbreaks, called delayed outbreaks, occur even when the basic reproduction number is less than one. A reallocation of susceptibility at the individual level, by repeated infections, in the host population induces delayed outbreaks.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Creative Commons Attribution 4.0 International
PISSN	1751-3758
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1080/17513758.2019.1643043